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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 45 · 40 sums
TalentJR

The method (Read, plan, check): Find the type of question first: power, square or cube, equation, identity, area or interest? Use the method from that lesson, step by step. Check: square or cube your root back, put equation answers back in, and work interest year by year.

NameDateTime takenScore ___ / 40
  1. 1.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  2. 2.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  3. 3.What amount will ₹48000 grow to in 3 years at 10% per year compound interest (in ₹)?
  4. 4.What is 54²? =
  5. 5.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  6. 6.A father is 15 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  7. 7.Write 4⁸ ÷ 4⁴ as a single power 4ⁿ. What is n?
  8. 8.The diagonals of a rhombus are 16 cm and 16 cm. What is its area (in square cm)?
  9. 9.Use (a + b)(a − b) = a² − b² to find 84 × 76.
  10. 10.Use (a + b)(a − b) = a² − b² to find 21 × 19.
  11. 11.Use (a + b)² = a² + 2ab + b² to find 97².
  12. 12.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  13. 13.Solve: 3t + 20 = t + 50. What is t?
  14. 14.What is the value of 2⁻⁶ (as a fraction)? =
  15. 15.A trapezium has an area of 550 square cm. Its parallel sides are 29 cm and 26 cm. What is the distance between them (in cm)?
  16. 16.What is the value of (3/5)⁻¹? =
  17. 17.Use (a + b)² = a² + 2ab + b² to find 12².
  18. 18.What is the value of 5³? =
  19. 19.A father is 13 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  20. 20.A trapezium has an area of 350 square cm. Its parallel sides are 9 cm and 26 cm. What is the distance between them (in cm)?
  21. 21.Find the value of x² + 2xy + y² when x = 10 and y = 2.
  22. 22.A father is 36 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  23. 23.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
  24. 24.What is 5³? =
  25. 25.Write (6³)⁶ as a single power 6ⁿ. What is n?
  26. 26.A trapezium has parallel sides of 24 cm and 10 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  27. 27.What is √9216? =
  28. 28.What amount will ₹17500 grow to in 2 years at 12% per year compound interest (in ₹)?
  29. 29.The diagonals of a rhombus are 12 cm and 5 cm. What is its area (in square cm)?
  30. 30.Write 70,00,000 in standard form as 7 × 10ⁿ. What is n?
  31. 31.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  32. 32.Solve: y/2 + y/3 = 25. What is y?
  33. 33.Use (a − b)² = a² − 2ab + b² to find 77².
  34. 34.What is the smallest whole number by which 40 must be divided to get a perfect square?
  35. 35.Solve: n/4 + n/3 = 7. What is n?
  36. 36.What is ∛10648? =
  37. 37.Use a² − b² = (a + b)(a − b) to find 84² − 26².
  38. 38.What is 88²? =
  39. 39.What is the value of (1/5)⁻²? =
  40. 40.What is the smallest whole number by which 504 must be multiplied to get a perfect square?

Answer key

  1. 12
  2. 486
  3. 63888
  4. 2916
  5. 8
  6. 3
  7. 4
  8. 128
  9. 6384
  10. 399
  11. 9409
  12. 5
  13. 15
  14. 1/64
  15. 20
  16. 5/3
  17. 144
  18. 125
  19. 10
  20. 20
  21. 144
  22. 7
  23. 900
  24. 125
  25. 18
  26. 187
  27. 96
  28. 21952
  29. 30
  30. 6
  31. 49
  32. 30
  33. 5929
  34. 10
  35. 12
  36. 22
  37. 6380
  38. 7744
  39. 25
  40. 14

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